At 6 a.m., a meteorologist records the temperature as −3.2°F . Seven hours later, the meteorologist records the temperature as 11.7°F.

Which expression represents the total temperature change, in degrees Fahrenheit, over the seven hours?


11.7+(−3.2)

−3.2+11.7

|11.7+(−3.2)|

|11.7−(−3.2)|

Respuesta :

The correct expression in this case is |11.7−(−3.2)|.

Negative numbers

Given that at 6 am, a meteorologist records the temperature as −3.2°F, and seven hours later, the meteorologist records the temperature as 11.7°F, to determine which expression represents the total temperature change, in degrees Fahrenheit, over the seven hours, the following reasoning must be carried out:

  • A negative number is a value that is below 0, that is, the inverse of said negative number is required in positive values to equate to 0.
  • So, -3.2 requires 3.2 to get to 0. If we add 11.7 to that, the total required values will be 14.9 (3.2 + 11.7).
  • In turn, in mathematics, subtracting a negative number from a positive number implies adding that number (1 - (-1) = 2).

Therefore, the correct expression in this case is |11.7−(−3.2)|.

Learn more about negative numbers in https://brainly.com/question/258076